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Proof step 39 from proof junkrefs-put-refval-01 (previous step)

is_array(str, r1, st), st[r0 -- _type] .type ≤ ty0, junkrefs(str, r1 ' + acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r0 = jvmref, junkref(str, r0, st), is_array(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), acc ≠ [] ∧ (∃ i. ¬ i < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r1 -- i ']) ∧ acc .first = st[r1 -- i '] .refval ∧ junkrefs(str, acc, st[r1 -- _type] .type .type, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_array(str, r, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _type ∧ fs ' ≠ _length → is_array(str, r, st[r -- fs ', val]) ,[val, fs, st, r, str] → [refval(r0), mkfs(class, ty0, fieldvar), st, r1, str] ,F ,okfuns , ,is_array-put-samefield ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ oktype(val, ty, st) ↔ okval(val, ty)], [CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)], [CSIMPSEQ : ⊦ ty ≠ void_type → mkfs(class, ty, fieldvar) ' ≠ _type], [CSIMPSEQ : ⊦ ¬ is_reftype(ty0) → (ty ≤ ty0 ↔ ty = ty0)])], [EXTRATERMS : (refval(r0), mkfs(class, ty0, fieldvar), st, r1, str)]]